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10131240 = 2335721723
BaseRepresentation
bin100110101001…
…011100101000
3201001201110010
4212221130220
510043144430
61001051520
7152054100
oct46513450
921051403
1010131240
11579a829
123486ba0
132139522
1414ba200
15d51cb0
hex9a9728

10131240 has 96 divisors (see below), whose sum is σ = 35376480. Its totient is φ = 2314368.

The previous prime is 10131227. The next prime is 10131257. The reversal of 10131240 is 4213101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5019 + ... + 6741.

It is an arithmetic number, because the mean of its divisors is an integer number (368505).

Almost surely, 210131240 is an apocalyptic number.

10131240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688240).

10131240 is an abundant number, since it is smaller than the sum of its proper divisors (25245240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131240 is a wasteful number, since it uses less digits than its factorization.

10131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10131240 is about 3182.9608857163. The cubic root of 10131240 is about 216.3818690727.

Adding to 10131240 its reverse (4213101), we get a palindrome (14344341).

The spelling of 10131240 in words is "ten million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1723 1960 2940 3446 5169 5880 6892 8615 10338 12061 13784 17230 20676 24122 25845 34460 36183 41352 48244 51690 60305 68920 72366 84427 96488 103380 120610 144732 168854 180915 206760 241220 253281 289464 337708 361830 422135 482440 506562 675416 723660 844270 1013124 1266405 1447320 1688540 2026248 2532810 3377080 5065620 10131240